Zobrazeno 1 - 10
of 246
pro vyhledávání: '"Weinberger, Shmuel"'
Autor:
Knudsen, Ben, Weinberger, Shmuel
We study probabilistic variants of the Lusternik--Schnirelmann category and topological complexity, which bound the classical invariants from below. We present a number of computations illustrating both wide agreement and wide disagreement with the c
Externí odkaz:
http://arxiv.org/abs/2401.15667
Using cohomological methods, we show that lattices in semisimple groups are typically stable with respect to the Frobenius norm but not with respect to the operator norm.
Comment: incorporated remarks and corrections of the reviewers
Comment: incorporated remarks and corrections of the reviewers
Externí odkaz:
http://arxiv.org/abs/2303.08943
We study growth of absolute and homological $k$-dimensional systoles of arithmetic $n$-manifolds along congruence coverings. Our main interest is in the growth of systoles of manifolds whose real rank $r > 1$. We observe, in particular, that in some
Externí odkaz:
http://arxiv.org/abs/2302.03196
Autor:
Lim, Geunho, Weinberger, Shmuel
We show the existence of linear bounds on Wall $\rho$-invariants of PL manifolds, employing a new combinatorial concept of $G$-colored polyhedra. As application, we show that how the number of h-cobordism classes of manifolds simple homotopy equivale
Externí odkaz:
http://arxiv.org/abs/2301.08870
Autor:
Farber, Michael, Weinberger, Shmuel
In this paper we study paramertized motion planning algorithms which provide universal and flexible solutions to diverse motion planning problems. Such algorithms are intended to function under a variety of external conditions which are viewed as par
Externí odkaz:
http://arxiv.org/abs/2202.05801
Autor:
Farber, Michael, Weinberger, Shmuel
Parametrized motion planning algorithms have high degree of flexibility and universality, they can work under a variety of external conditions, which are viewed as parameters and form part of the input of the algorithm. In this paper we analyse the p
Externí odkaz:
http://arxiv.org/abs/2202.05796
Publikováno v:
Pure Appl. Math. Q. 19 (2023), no. 6, 2919-2950
This paper is about positive scalar curvature on a compact manifold $X$ with non-empty boundary $\partial X$. In some cases, we completely answer the question of when $X$ has a positive scalar curvature metric which is a product metric near $\partial
Externí odkaz:
http://arxiv.org/abs/2201.01263
In this paper, we give both positive and negative answers to Gromov's compactness question regarding positive scalar curvature metrics on noncompact manifolds. First we construct examples that give a negative answer to Gromov's compactness question.
Externí odkaz:
http://arxiv.org/abs/2112.13897
For a group $G$ of not prime power order, Oliver showed that the obstruction for a finite CW-complex $F$ to be the fixed point set of a contractible finite $G$-CW-complex is the Euler characteristic $\chi(F)$. He also has the similar results for comp
Externí odkaz:
http://arxiv.org/abs/2010.14988